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Finding the Fourth Proportional to 2,763.61, 3,813.42 and 1,701.93

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Solution

The fourth proportional to 2,763.61, 3,813.42 and 1,701.93 is: 2,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.61 : 3,813.42 = 1,701.93 : x
  2. Step 2: Convert to fraction form
    2,763.61/3,813.42 = 1,701.93/x
  3. Step 3: Cross multiply
    2,763.61x = 3,813.42 × 1,701.93
  4. Step 4: Simplify right side
    2,763.61x = 6,490,173.90
  5. Step 5: Solve for x
    x = 6,490,173.90/2,763.61
  6. Step 6: Final answer
    x = 2,348.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.